普通物理 CH11

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GP11

Problem 1

In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0,-4m,5m) when forces \(\vec{F_1}=(3.0N)\hat{k}\) and \(\vec{F_2}=(-2.0N)\hat{j}\) act on the flea?

一隻跳蚤的座標 (0,-4m,5m)，兩力 \(\vec{F_1}=(3.0N)\hat{k}\) 和 \(\vec{F_2}=(-2.0N)\hat{j}\) 施加在跳蚤身上，問淨力矩？ (01小題)

淨力矩=___N*m
可嘗試次數(no. of submission)= 3

01

Problem 2

Force \(\vec{F}=(-8N)\hat{i}+(6N)\hat{j}\) acts on a particle with position vector \(\vec{r}=(3m)\hat{i}+(4m)\hat{j}\) .What are (a) the torque on the particle above the origin, in unit-vector notation, and (b) the angle between the directions of \(\vec{r}\) and \(\vec{F}\) ?

力 \(\vec{F}=(-8N)\hat{i}+(6N)\hat{j}\)作用在粒子上，粒子位置向量\(\vec{r}=(3m)\hat{i}+(4m)\hat{j}\) 。問(a)粒子對原點的力矩為何？(b)\(\vec{r}\)和 \(\vec{F}\) 之間的角度為何？ (02小題)

(a)力矩=___N*m
可嘗試次數(no. of submission)= 3

02

(b)角度=___
可嘗試次數(no. of submission)= 3

03

Problem 3

An automobile traveling at 80km/h has tired of 75cm diameter. (a) what is the angular speed of the tires about their axles? (b) If the car is brought to a uniformly in 30 complete turns of the tires (without skidding), what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking?

汽車以80km/h行駛，輪胎直徑 75 cm。（a）輪胎對軸的角速度？（b）如果輪胎到完全轉動30圈（不打滑），問角加速度？（c）剎車期間，車子走多遠？ (03小題)

(a)角速度=___rad/s
可嘗試次數(no. of submission)= 3

04

(b)角加速度=___\(rad/s^2\)
可嘗試次數(no. of submission)= 3

05

(c)距離=___m
可嘗試次數(no. of submission)= 3

06

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